1. Find the equation of a line passing through the points (1,-2) and (-3,10).​

Answer: 1/5 or 20%

Step by Step Explanation:

Since there is 10 possible out comes, and you favor 2 of them, roling the die once will give you a 10/2 or 1/5 chance of getting 3 or 5.

Formula:  Number of outcomes divided by Favorable Outcomes

The measure of the angle ∠A will be 12°. Then the correct option is B.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The angle formed by two secants (lines cutting a circle at two places) intersecting outside the ring is half the distance between their arc minus the closest arc.

From the diagram, the equation is given as,

∠A = (arc DE - arc BC) / 2

∠A = (94° - 70°) / 2

∠A = 24° / 2

∠A = 12°

The measure of the angle ∠A will be 12°. Then the correct option is B.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ7

Option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

In statistics, variance is a measure of the variation of data from the mean, whereas standard deviation is the measure of the normal distribution of statistical data.

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood.

2,400; 1,750; 1,900; 2,500; 2,250; 2,100

we need to find which of the following represents the numerator in the calculation of variance and standard deviation.

(225[tex])^{2}[/tex] + (–425[tex])^{2}[/tex]+ (–275[tex])^{2}[/tex] + (325[tex])^{2}[/tex] + (75[tex])^{2}[/tex]+ (–75[tex])^{2}[/tex] = 423,750

(650[tex])^{2}[/tex] + (–150[tex])^{2}[/tex] + (–600[tex])^{2}[/tex] + (250[tex])^{2}[/tex] + (150[tex])^{2}[/tex] + (–300[tex])^{2}[/tex] = 980,000

(250[tex])^{2}[/tex] + (–400[tex])^{2}[/tex] + (–250[tex])^{2}[/tex] + (350[tex])^{2}[/tex] + (100[tex])^{2}[/tex] + (–50[tex])^{2}[/tex] = 420,000  

92416.60

The variance is 84000

The standard deviation is 290

mean = (2400+1750+1900+2500+2250+2100)/6

mean = 2150

Subtract the data values from the mean to get

2400-2150 = 250

1750-2150 = -400

1900-2150 = -250

2500-2150 = 350

2250-2150 = 100

2100-2150 = -50

The differences are 250, -400, -250, 350, 100, -50

Then you square those values and add up the squares

(250)^2 +  (-400)^2 +  (-250)^2 +  (350)^2 +  (100)^2 +  (-50)^2 = 420,000

Hence, option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

Learn more about variance;

https://brainly.com/question/14116780

Answer:

20 and greater than 20

__________________________________________________________

Ask me in the comments box.

Answer:

[tex]-\dfrac25c^2d^2+2c^3[/tex]

Step-by-step explanation:

[tex]-\dfrac13c^2(1.2d^2-6c)[/tex]

[tex]\implies -\dfrac13c^2 \cdot 1.2d^2+\dfrac13c^2 \cdot 6c[/tex]

[tex]\implies -\dfrac{1.2}{3}c^2d^2+\dfrac63c^2c[/tex]

[tex]\implies -\dfrac25c^2d^2+2c^3[/tex]

Answer:

3.26

Step-by-step explanation:

33.5/3.14 = 10.66 ( when rounded to the nearest tenth).

10.66 square rooted is 3.26

The required radius of the sphere is 2 inch.

Volume of sphere = 33.5 cubic inches . Radius of sphere to be determine.

Volume, is defined as mass gained per unit cube of density.

Here, area of sphere = [tex]4/3\pi r^3[/tex]

                         33.5 = 4/3 πr³
                              r³ = 33.5 * 3/4π
                              r  = 2

Thus, the required radius of the sphere is 2 inch.

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ2

Step-by-step explanation:

17) no problem were noticed, just:

reflecting across Y-axis changes the coordinate 'x', no changes for coordinate 'y';

reflecting across X-axis changes the coordinate y, no changes for coordinate 'x'.

For more info see the attached picture.

Answer:

99750000 people

Step-by-step explanation:

1,750,000*57=99750000

Answer:

Step-by-step explanation:

To find the slope, pick any two points fromthe line.

(2,2)  & (0,-4)

x₁ = 2 & y₁ = 2

x₂ = 0 & y₂ = - 4

[tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]

          [tex]\sf =\dfrac{-4-2}{0-2}\\\\\\ =\dfrac{-6}{-2}\\\\\\=3[/tex]

Slope = 3

At y-intercept x = 0.

From the graph, y-intercept = -4

Equation of the line: y = mx + b

y = 3x - 4

Answer:

y+2 if this is correct can u mark me brainliest?

Answer:

5 prism all have same volume

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Area of a kite = 1/2 * D1 * D2   were D1 and D2 are the 2 diagonals

D1  = 5 + 2.5 = 7.5 and D2 = 2*44444.5 = 9

So area = 1/2 * 7.5 * 9

= 33.75.

Answer:

33.75 Ft

Step-by-step explanation:

(5*4.5)/2+(5*4.5)/2+(4.5*2.5)/2+(4.5*2.5)/2

The amount Rachel has left of the amount given to her by her aunt after she makes the purchases is  $22.15.

In order to determine the amount she would have left, determine the total value of the purchases and subtract it from the amount she was given.

Total value of the purchases = (4 x 0.85) + 45.50 + (5 x 2.79) = $62.85

Change =  $85 - $62.85 = $22.15

To learn more about addition, please check: https://brainly.com/question/19628082

Answer:

Graph-d

Step-by-step explanation:

We are given that,Each month, Alex’s cellphone plan costs $15 and additional 0.10 per minute of use. The equation that would represent Alex's total monthly costs would be linear equation (equation of a line). Linear equation has the following form:

[tex]y = mx + b[/tex]

in this case,

Since Alex’s cellphone plan initially costs $15, b would be 15 . Again he has to pay an additional cost of $0.10 per minute of use. hence, m would be 0.10 or ⅒ . Therefore our equation of line is

In conclusion

Graph d represents Alex’s total monthly cost

Answer:

Step-by-step explanation:

Answer:

H = Y (21, -12)

Step-by-step explanation:

Given

Solving

The required image point is H=Y(21, -12)

If the scale factor is given then by multiplying the scale factor with the co-ordinates gives us the image of the given point.

Here the given point is Y(-7, 4)

After the dilation centered at origin, the scale factor is -3

∴ The x co-ordinate is (-7)×(-3)=21

& the y co-ordinate is 4×(-3)= -12

Hence the image is Y(21, -12)

Learn more about scale factor here :

https://brainly.com/question/27351495

#SPJ2

Answer:

[tex]\implies x^2+y^2-4x -6y+9=0[/tex]

Step-by-step explanation:

Circle is touching y-axis at point (0, 3) and is centered at (2, 3)

-> h = 2, k = 3 & r = 2 units (If a circle touches y -axis then x coordinate of the center will be it's radius)

Equation of circle in standard form is given as:

[tex](x-h)^2 +(y-k)^2 =r^2[/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex](x-2)^2 +(y-3)^2 =2^2[/tex]

[tex]\implies x^2-4x +4+y^2-6y+9=4[/tex]

[tex]\implies x^2+y^2-4x -6y+4+9=4[/tex]

[tex]\implies x^2+y^2-4x -6y+9=0[/tex]

This is the required equation of the circle.

The function b(t)= 4.891(1.331)^t is an exponential function

The function is given as:

b(t)= 4.891(1.331)^t.

2000 is 4 years from 1996.

This means that t = 4

So, we have:

b(4)= 4.891(1.331)^4

Evaluate

b(4)= 15.35

So, the percentage of executives in 2000 is 15.35

2001 is 5 years from 1996.

This means that t = 5

So, we have:

b(5)= 4.891(1.331)^5

Evaluate

b(5)= 20.43

Hence, the percentage of executives in 2001 is 20.43

Read more about exponential functions at:

https://brainly.com/question/24077767

Answer:

Step-by-step explanation:

so, 50+75=125.

180-125=55.

There can be-

130, 95, and 125

Answer:

See below

Step-by-step explanation:

From the graph :

y = -x         -inf < x <=0

y = x             0<= x <= 2

y = 3            x > 2

Answer:

the answer is 24 since 24 x 5 = 120

Step-by-step explanation:

Hope this helps you!

Answer:

See below ↓↓↓

Step-by-step explanation:

Subquestion #1

Subquestion #2

Subquestion #3

#1

[tex]\\ \rm\Rrightarrow 2x+48=180[/tex]

[tex]\\ \rm\Rrightarrow x+24=90[/tex]

[tex]\\ \rm\Rrightarrow x=66[/tex]

#2

[tex]\\ \rm\Rrightarrow 4x+7+35=90[/tex]

[tex]\\ \rm\Rrightarrow 4x+42=90[/tex]

[tex]\\ \rm\Rrightarrow 4x=48[/tex]

[tex]\\ \rm\Rrightarrow x=12[/tex]

#3

[tex]\\ \rm\Rrightarrow 3x+54=180[/tex]

[tex]\\ \rm\Rrightarrow 3x=126[/tex]

[tex]\\ \rm\Rrightarrow x=42[/tex]

Answer:

62

Step-by-step explanation:

In this scenario, we would use BODMAS to determine where to start.

B - Brackets

O- Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

First, let's start with the brackets.

16 X [tex]\frac{1}{2}[/tex] is the same as 16 X 0.5.

16 X [tex]\frac{1}{2}[/tex] = 8

Next is the division sum.

32 ÷ 4 = 8

Afterwards, we multiply both answers.

8 X 8 = 64

Your answer is then minused by 2 and leads to the final answer.

64 - 2 = 62

Answer:

a) 1/8

b) 8

Step-by-step explanation:

a) 1/2 x 1/2 x 1/2 = 1/8

b) since the exponent is negative it becomes positive when placed in the denominator

so 1/2 ^-1 is equal to 1/1 ÷ 1/2 which is equal to 2

therefore, (1/2)^-3 is equal to 2 x 2 x 2 or 8

Answer:

5671.30

Step-by-step explanation:

periods = 5 years quarterly = 20 periods

 interest per period  .0335/4     (4 periods per year)

   initially 4800

FV = future Value = 4800 ( 1 + .0335/4)^20 = 5671.30

Answer:

Step-by-step explanation:

Remark

Choose any number at all and see what happens.

Suppose x = 8

3*(8 + 1) = 3*8 + 3

3(9) = 27

3*8 + 3 = 24 + 3 = 27

What you have shown is that the second choice is incorrect. There is at least one value that makes the equation correct (that is, both sides come to the same result.)

If choice two is false then choice one must be true since these results may give the only 2 possible results.

Answer:

32 minutes

Step-by-step explanation:

49 - 17 = 32

Timothy spent 32 minutes on his math homework.

Answer: just count from 17 to 49 and then boom answer!!! that is if its still pm when he is done.

Answer:

Mikiala,  just remember  π is just a number. sooo

Step-by-step explanation:

we need a formula for area of a cone which is  (1/3) * π * r² * h

A = area , then

A=  (1/3) * π * r² * h

now just solve with the known info

A = 1/3 * π* [tex]6^{2}[/tex] *16

A= 192π

Answer:

603.2

Step-by-step explanation:

Formula for volume of cone: [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]x^{2}[/tex]h